Mathematics Worksheet: Fractions - Equivalent Fractions

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Mathematics Worksheet: Fractions - Equivalent Fractions

Subject: MathsGrade: 6
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Grade 6
A

Introduction to Equivalent Fractions

Fractions that represent the same value or proportion are called equivalent fractions. For example, 1/2 is equivalent to 2/4 because both represent the same part of a whole. To find equivalent fractions, multiply or divide numerator and denominator by the same number. Examples: - 1/2 = 2/4 = 3/6 - 3/5 = 6/10 Understanding equivalent fractions helps in comparing, simplifying, and solving problems involving fractions.
B

Practice Questions

Answer the following questions to practice your understanding of equivalent fractions.
1.
Which of the following fractions is equivalent to 3/4?
[1 mark]
A9/12
B5/8
C6/7
D7/10
2.
Write an equivalent fraction for 2/5 by multiplying numerator and denominator by 3.
3.
Is 4/6 equivalent to 2/3? (Yes/No)
4.
Simplify the fraction 8/12 to its lowest terms.
5.
Find an equivalent fraction for 7/10 by dividing numerator and denominator by 1.
6.
Which of these is NOT an equivalent fraction to 1/2?
[1 mark]
A2/4
B4/8
C6/12
D3/5
7.
Convert 5/8 into an equivalent fraction with denominator 24.
8.
Are 9/12 and 3/4 equivalent? (Yes/No)
9.
Write two different equivalent fractions for 1/3.
10.
Find an equivalent fraction for 6/9 by dividing numerator and denominator by 3.
11.
A recipe calls for 1/4 cup of sugar. Which of these is an equivalent measurement?
[2 marks]
A3/8 cup
B2/8 cup
C1/3 cup
D3/4 cup
12.
A map scale shows 1/2 inch equals 1 mile. What is an equivalent scale if 2 inches equal x miles?

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Created
12/30/2025
Updated
12/30/2025
Type
worksheet